High-confidence data-driven ambiguity sets for time-varying linear systems

D Boskos, J Cortés, S Martínez - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article builds Wasserstein ambiguity sets for the unknown probability distribution of
dynamic random variables leveraging noisy partial-state observations. The constructed …

Evaluation of integrated variable speed limit and lane change control for highway traffic flow

T Yuan, F Alasiri, Y Zhang, PA Ioannou - IFAC-PapersOnLine, 2021 - Elsevier
A sudden lane drop on a freeway with high volume of vehicles can cause severe traffic
congestion and safety issues. Forced lane changes near the bottleneck reduce the traffic …

Structured ambiguity sets for distributionally robust optimization

LM Chaouach, T Oomen, D Boskos - arxiv preprint arxiv:2310.20657, 2023 - arxiv.org
Distributionally robust optimization (DRO) incorporates robustness against uncertainty in the
specification of probabilistic models. This paper focuses on mitigating the curse of …

Uncertain uncertainty in data-driven stochastic optimization: towards structured ambiguity sets

LM Chaouach, D Boskos… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
Ambiguity sets of probability distributions are a prominent tool to hedge against distributional
uncertainty in stochastic optimization. The aim of this paper is to build tight Wasserstein …

Data-driven ambiguity sets for linear systems under disturbances and noisy observations

D Boskos, J Cortés, S Martínez - 2020 American Control …, 2020 - ieeexplore.ieee.org
This paper studies the characterization of Wasserstein ambiguity sets for dynamic random
variables when noisy partial observations are progressively collected from their evolving …

Distributionally robust optimization via Haar wavelet ambiguity sets

D Boskos, J Cortés, S Martínez - 2022 IEEE 61st Conference …, 2022 - ieeexplore.ieee.org
This paper introduces a spectral parameterization of ambiguity sets to hedge against
distributional uncertainty in stochastic optimization problems. We build an ambiguity set of …

Online optimization and learning in uncertain dynamical environments with performance guarantees

D Li, D Fooladivanda, S Martinez - arxiv preprint arxiv:2102.09111, 2021 - arxiv.org
We propose a new framework to solve online optimization and learning problems in
unknown and uncertain dynamical environments. This framework enables us to …

Dynamics of data-driven ambiguity sets for hyperbolic conservation laws with uncertain inputs

F Boso, D Boskos, J Cortés, S Martínez… - SIAM Journal on …, 2021 - SIAM
Ambiguity sets of probability distributions are used to hedge against uncertainty about the
true probabilities of uncertain inputs and random quantities of interest (QoIs). When …

Wasserstein distributionally robust learning

S Shafieezadeh Abadeh - 2020 - infoscience.epfl.ch
Many decision problems in science, engineering, and economics are affected by
uncertainty, which is typically modeled by a random variable governed by an unknown …

Control of Mainstream Traffic Flow: Variable Speed Limit and Lane Change

FH Alasiri - 2022 - search.proquest.com
The well-known macroscopic Cell Transmission Model (CTM) has been widely used to
develop several Intelligent Transportation Systems (ITS) to mitigate highway traffic …